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A Novel Pareto-Optimal Algorithm for Flow Shop Scheduling Problem

Author

Listed:
  • Nasser Shahsavari-Pour

    (Department of Industrial Engineering, Vali-e-Asr University of Rafsanjan, Rafsanjan 7718897111, Iran)

  • Azim Heydari

    (Department of Astronautics, Electrical and Energetic Engineering (DIAEE) Sapienza University, 00184 Rome, Italy
    Department of Energy Management and Optimization, Institute of Science and High Technology and Environmental Sciences, Graduate University of Advanced Technology, Kerman 7631885356, Iran)

  • Afef Fekih

    (Department of Electrical and Computer Engineering, University of Louisiana at Lafayette, Lafayette, LA 70504, USA)

  • Hamed Asadi

    (Department of Industrial Engineering, Science and Research Branch, Islamic Azad University, Tehran 1477893855, Iran)

Abstract

Minimizing job waiting time for completing related operations is a critical objective in industries such as chemical and food production, where efficient planning and production scheduling are paramount. Addressing the complex nature of flow shop scheduling problems, which pose significant challenges in the manufacturing process due to the vast solution space, this research employs a novel multiobjective genetic algorithm called distance from ideal point in genetic algorithm (DIPGA) to identify Pareto-optimal solutions. The effectiveness of the proposed algorithm is benchmarked against other powerful methods, namely, NSGA, MOGA, NSGA-II, WBGA, PAES, GWO, PSO, and ACO, using analysis of variance (ANOVA). The results demonstrate that the new approach significantly improves decision-making by evaluating a broader range of solutions, offering faster convergence and higher efficiency for large-scale scheduling problems with numerous jobs. This innovative method provides a comprehensive listing of Pareto-optimal solutions for minimizing makespan and total waiting time, showcasing its superiority in addressing highly complex problems.

Suggested Citation

  • Nasser Shahsavari-Pour & Azim Heydari & Afef Fekih & Hamed Asadi, 2024. "A Novel Pareto-Optimal Algorithm for Flow Shop Scheduling Problem," Mathematics, MDPI, vol. 12(18), pages 1-15, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:18:p:2951-:d:1483448
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    References listed on IDEAS

    as
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